Boundary Control of Beams

  • Hornsen (HS) TzouEmail author
Part of the Solid Mechanics and Its Applications book series (SMIA, volume 247)


Distributed control of a PVDF laminated cantilever beam was studied in this chapter. The laminated cantilever beam had a distributed piezoelectric sensor and a distributed actuator; both were surface bonded. Closed-loop feedback controls of the beam using the displacement and velocity signals were respectively evaluated and results compared. The results showed that the displacement feedback controls were insignificant and the velocity feedback controls were much more effective. In the velocity feedback control, the system damping increased to an ultimate value and then gradually dropped down as the feedback gain continuously increased. This was caused by the additional constraint imposed by the boundary control moment at the free-end. The free-end boundary condition was gradually changing to a sliding-roller boundary condition as proved by finite element analyses and laboratory experiments.


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© Springer Nature B.V. 2019

Authors and Affiliations

  1. 1.State Key Laboratory of Mechanics and Control of Mechanical Structures; Interdisciplinary Research Institute, College of Aerospace EngineeringNanjing University of Aeronautics and AstronauticsNanjingChina

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